Condensed Matter Physics, 2004, vol. 7, No. 3(39), p. 565-578, English

Title: Autowaves in moving excitable media
Authors: V.A.Davydov, N.V.Davydov, V.G.Morozov ( Moscow State Institute of Radioengineering, Electronics and Automation, 117454, Vernadsky Prospect 78, Moscow, Russia), M.N.Stolyarov Department of theoretical physics, Physical Institute of Russian Academy of Sciences, 117924, Leninsky Prospect 53, Moscow, Russia), T.Yamaguchi (National Institute of Advanced Industrial Science and Technology (AIST), Higashi, 1-1-1, Tsukuba, Ibaraki 305-8565, Japan)

Within the framework of kinematic theory of autowaves we suggest a method for analytic description of stationary autowave structures appearing at the boundary between the moving and fixed excitable media. The front breakdown phenomenon is predicted for such structures. Autowave refraction and, particulary, one-side ``total reflection'' at the boundary is considered. The obtained analytical results are confirmed by computer simulations. Prospects of the proposed method for further studies of autowave dynamics in the moving excitable media are discussed.

Key words: nonlinear dynamics and nonlinear dynamical systems, reaction-diffusion media, autowave refraction
PACS: 05.50.+q, 05.70.Ln, 82.40.-g, 87.10.+e

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